{"id":"W1966407194","doi":"10.1142/9789814360548_0005","title":"A DICHOTOMY FOR THE MACKEY BOREL STRUCTURE","year":2011,"lang":"en","type":"preprint","venue":"","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Separable space; Countable set; Equivalence (formal languages); Mathematics; Pure mathematics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001652805,0.0005223585,0.0007224125,0.002193707,0.003239027,0.004393154,0.001026283,0.002264411,0.0104927],"category_scores_gemma":[0.00541541,0.0004042307,0.0008291664,0.0009528887,0.005854941,0.01088685,0.00512644,0.004950054,0.001016214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002041979,"about_ca_system_score_gemma":0.0006402737,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006129731,"about_ca_topic_score_gemma":0.0003503417,"domain_scores_codex":[0.9989359,0.0002025861,0.0000552913,0.0002899536,0.0002944751,0.0002217874],"domain_scores_gemma":[0.9978835,0.001045357,0.0002277717,0.0002526406,0.000194555,0.0003960229],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001109788,0.000009685652,0.0001517855,0.00001359037,0.000002735384,0.00003715915,0.0001019656,0.00008106295,0.0003105256,0.997666,0.0005311416,0.001083352],"study_design_scores_gemma":[0.000009556716,0.00001579195,0.0003096673,0.00001366557,0.000004627381,0.00006070544,0.00007562021,0.00182828,0.0002777783,0.9960038,0.00139364,0.00000689773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.547762,0.002660237,0.1531426,0.02826578,0.001026555,0.00008828427,0.000570411,0.0004280737,0.2660561],"genre_scores_gemma":[0.9765277,0.0005438048,0.008944207,0.001358074,0.0005561007,0.000121167,0.000162667,0.00006264132,0.01172368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0104927,"threshold_uncertainty_score":0.03510159,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1351797734119994,"score_gpt":0.4054149358567999,"score_spread":0.2702351624448005,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}